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Finding the Third Proportional to 21,042 and 46,458

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Solution

The third proportional to 21,042 and 46,458 is: 102,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042 : 46,458 = 46,458 : x
  2. Step 2: Convert to fraction form
    21,042/46,458 = 46,458/x
  3. Step 3: Cross multiply
    21,042x = 46,458 × 46,458
  4. Step 4: Simplify right side
    21,042x = 2,158,345,764
  5. Step 5: Solve for x
    x = 2,158,345,764/21,042
  6. Step 6: Final answer
    x = 102,573.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.